Re: Area of Squares

hi zee-f,

My first drawing shows a bird's eye view, looking down. The barn is 20 by 20. It doesn't matter how high it is since the goat cannot fly!

If the goat is tied at A, it can certainly get to A just by letting the rope go slack. If it heads in the direction E it will have to stop at E because the rope is now tight. If it tries to go to the left it will be forced to go no further from A than the edge of the circle.

So it could go around in a clockwise direction, along the circumference of the circle, through F then G all the way round to H. At any time on that journey around the circumference you could look at the rope and it would go straight back to A in a straight line (the radius).

Also, the goat could get to any point inside the circle (the yellow part) , simply by heading back towards A. letting the rope go slack.

Does that make sense so far?

Bob

ps. picture shows goat just around from point F. Hard to find a view of a barn from above. Found one with no roof. Why? I don't know.

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei